Page 10 - NPTEL Courses & Certifications 2026 - Free & Paid Online NPTEL Courses

Offered by

IIT Kharagpur via Swayam +1

Certificate

Soil Mechanics/Geotechnical Engineering I

Soil Mechanics/Geotechnical Engineering I is a 12-week course featuring all the soil mechanics concepts ranging from the origin of soil to stability of soil slopes. The training from Swayam extensively covers two segments, namely soil mechanics and foundation engineering. Candidates will also learn about earth pressure theory, shear strength, Bouusinesq’s theory, and effective stress concepts.

The Soil Mechanics/Geotechnical Engineering I training curriculum includes in-depth information about the origin of soil, soil compaction, and its classifications. Learning the elementary principles of geotechnical engineering through soil mechanics will acquaint you with the core of civil engineering. The course also contains a list of books and references from world-renowned authors to supplement your learning.

Swayam offers the Soil Mechanics/Geotechnical Engineering I programme free of cost. However, students who want to get a certificate featuring the logos of IIT Kharagpur and NPTEL must sit for a 100-mark proctored test by paying a sum of Rs 1,000. Students who want to pursue the course must have a background in engineering mechanics.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Advanced Foundation Engineering

Advanced Foundation Engineering program primarily focuses on the design of shallow foundations on layered soil, on eccentric loading conditions, and under inclined soil. The course will also provide an overview of lateral loading conditions and piles under uplift. These topics are especially useful for engineering students and working professionals as they are not covered in the conventional engineering degree courses.

Advanced Foundation Engineering certification courses will be most beneficial for final-year undergraduate engineering students and postgraduate and doctoral students in their first semester. It will also prove useful for individuals who are preparing for competitive examinations.

Advanced Foundation Engineering is a twelve-week course that uses online lectures, weekly assignments, and a final exam to motivate students to complete the course and gain maximum knowledge out of it. Candidates can achieve a certificate by completing the assignments satisfactorily and scoring higher than the cut-off in the final examination.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Hydraulic Engineering

The Hydraulic Engineering certification course provides an undergraduate level of training and it is an essential part of the AICTE civil engineering curriculum. The course gives a detailed explanation about hydraulic engineering and involves topics like viscous fluid flow, turbulent and laminar flow, dimensional analysis, boundary layer analysis, computational fluid dynamics, etc.

The course also talks about the various problems that are continuously faced in the industry such as hydraulic machines and open channel flows. Candidates who have some pre-knowledge in the field and about fluid mechanics would be able to understand this course properly, however, the Hydraulic Engineering online course gives an introduction and covers the fundamentals of fluid mechanics too so that other students have an understanding of the topic.

The course is free of cost programme and there are no timings for attending classes or any requirement regarding attendance. The provider of the Hydraulic Engineering training also provides a certificate of the course to the eligible candidates who qualify the exam as per the requirements of the platform. The course can be accessed anytime from anywhere and students can pursue this course till the time they understand it completely even when the mentor of the course will complete the syllabus in the given time of 3 months.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Geotechnical Engineering II Foundation Engineering

The Geotechnical Engineering II Foundation Engineering by Swayam covers up the civil engineering segment. The civil engineering segment is a vast discipline. This course will cover foundation engineering and geotechnical engineering. Geotechnical engineering will cover up the construction and design of various structures, tunnels, rail embankment, and offshore structures. The course will first cover up the soil mechanics and then move towards foundation engineering.

The Geotechnical Engineering II Foundation Engineering fee for the course is free of cost. The course is offered in the Swayam platform certified by IIT Kharagpur and NPTEL. The course will be taught by the faculty member of IIT Kharagpur. The students who are appearing in the GATE, engineering services, or any other important competitive examination will be benefitted as this course covers up the examination syllabus for these exams.

The Geotechnical Engineering II Foundation Engineering certification is useful and rewarding for both students and working professionals. This certification is e-verifiable in the NPTEL platform. The certification can be shared on social media such as Linkedin, Facebook, and many more. This certification will help claim promotional benefits for the candidates working in the civil engineering sector.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Introduction to Fluid Mechanics

The Introduction to Fluid Mechanics certification syllabus lays strong emphasis on the fundamental concepts outlining fluid mechanics’ principles. This fluid mechanics branch is widely recognized for its various applications in different fields of science and engineering. With a course duration of twelve weeks, the training falls under the common domain of mechanical engineering and computational thermal fluids.

The Introduction to Fluid Mechanics online course is an undergraduate-level program, paying special attention to this subject’s critical equations derivation. Students will benefit significantly from the appropriately-balanced coverage of the mathematical operations involved and vital physical concepts. Besides, a number of exercise problems and examples will be discussed to enhance practical understanding.

The Introduction to Fluid Mechanics training is provided by Professor Suman Chakraborty, currently working as a professor in the Mechanical engineering department of IIT Kharagpur. He has published over 380 journals and received several awards. Thus, students can clearly obtain crisp clarity in this subject and understand its fundamental concepts.

12 Weeks

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Skills Covered:

Knowledge of engineering

Offered by

IIT Kharagpur via Swayam +1

Certificate

Urban Transportation Systems Planning

The online certification course on Urban Transportation Systems Planning by Swayam will be covering the challenges need for efficient and effective planning of urban transport that is required in the modern-day. The online program will further be addressing the- growing travel demand and will be helping to formulate strategies to maintain sustainable development in a more affordable and sustainable way.

The Urban Transportation Systems Planning training has been divided and subdivided into nine modules that will be held for a period of twelve weeks. The session will further help in capacity building amongst policymakers, master students, and practitioners.

The Urban Transportation Systems Planning certification syllabus includes- Probit analysis, Logit model, Nested logit model, Two-stage modal split models, Multinomial logit model, Estimation of logit models. The course will be helping the students to make decisions and transport planning to make the urban transport more efficient and effective.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of Urban Planning

Offered by

IIT Kharagpur via Swayam +1

Certificate

Water Supply Engineering

The Water Supply Engineering certification is an undergraduate as well as a postgraduate program that is made available to the students through the Indian Institute of Technology, Kharagpur in association with the Swayam. The program needs to be completed in the online mode and is available for free for all the students. The program permits the students to complete the Water Supply Engineering certification syllabus according to their requirements since there are no restrictions regarding time and attendance. The course takes 12 weeks to be understood thoroughly, however, students are allowed to take extra time to access the course without paying any amount.

In case the student wants to get a certificate on the completion of the Water Supply Engineering training, he or she can pay the exam registration fee and appear for an offline exam. The online course is in association with the forum of Swayam and it provides course material such as video lectures, tests, quizzes, assignments, etc. within the program. The course can be joined at any time from anywhere as it is available throughout the year on the website. The Water Supply Engineering certification course provides interactive sessions through discussion groups which helps the students discuss their queries and understand the concepts properly.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Design Of Reinforced Concrete Structures

The ‘Design Of Reinforced Concrete Structures’ online course is a study about the aspects of design structures in concrete provided by the Swayam online education platform by the ministry of education in India. The course on concrete design structures is a National Program on Technology Enhanced Learning(NPTEL) online course developed by the Indian Institute of Technology Kharagpur.

This faculty development program for the students pursuing civil engineering and architecture is held for twelve weeks. The course educator for the online program is Prof. Nirjhar Dhang from the department of civil engineering at IIT Kharagpur. This postgraduate-level course is approved by the All India Council for Technical Education and allows the students to earn three credits. The ‘Design Of Reinforced Concrete Structures’ training program is part of the civil engineering and structural design domains. The students will receive the course certificate with NPTEL and IIT Kharagpur logos.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills Knowledge of engineering Mathematical skill Designing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Retrofitting and Rehabilitation of Civil Infrastructure

The Retrofitting and Rehabilitation of Civil Infrastructure training course is a 12 weeks online course. The Retrofitting and Rehabilitation of Civil Infrastructure certification syllabus was developed by the IIT Kharagpur, however, Swayam is the platform that offers the course, and the IIM and NPTEL are the organizations that issue the certificate.

The Retrofitting and Rehabilitation of Civil Infrastructure certification course belongs to the elective program, which gives us a detailed understanding of various methods of repair, rehabilitation, and retrofitting techniques for masonry and concrete conditions in infrastructures. In this course, the materials for repair and retrofitting and the maintenance and strengthening techniques are also covered.

This course is suitable for all civil engineering design and consulting firms, material manufacturers, and construction companies related to concrete technology; most companies allow this course for practical applications. This certificate course is explained by Professor Swathi Maitra and Professor Sriman Kumar Bhattacharyya.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Surface Water Hydrology

The Surface Water Hydrology Certification Course is a 12 weeks online program. This online course’s syllabus is created and decided upon by the IIT Kharagpur, but the course is delivered via the Swayam platform, and the Indian Institute of Technology Kharagpur and NPTEL are responsible for awarding certificates for this course.

This Surface Water Hydrology training belongs to the core program section, which deals with the concept of the global hydrological cycle. This course is divided into three main modules: hydrological analysis, hydrological processes, and hydrological design, in order to provide a thorough learning strategy.

There will be an explanation of the relevant theoretical principles for each process, their physical modeling, and their actual measuring setups. More practical uses for hydrological design principles are developed and described. Prof. Rajib Maity explains this certificate course.

Also Read: Civil Engineering Certification Courses

12 Weeks

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Offered by

IIT Kharagpur via Swayam +1

Certificate

Traffic Engineering

The Traffic Engineering certification course is a 12 weeks online program. The syllabus for this course was designed and created by IIT Kharagpur, but it is delivered via the Swayam platform and the Indian Institute of Technology (Kharagpur), and NPTEL awards the certificate for this course.

The Traffic Engineering training belongs to the core program section, which deals with the fundamentals of the concept of traffic congestion. Traffic congestion has developed into a significant urban disease in the modern period of urbanization, especially in developing nations like India. Due to increased travel times, traffic accidents, fuel consumption, excessive exhaust emissions, etc., any city's growth and sustainable development may be affected

This course will help in capacity building amongst master students, policymakers, practitioners, etc. to understand the traffic engineer’s role in all relevant dimensions and develop strategies, programs, and projects accordingly. Prof. Bhargab Maitra explains this certificate course.

Also read: Transportation Engineering Certification Courses

12 Weeks

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Offered by

IIT Kharagpur via Swayam +1

Certificate

Probability Methods in Civil Engineering

The Probability Methods in Civil Engineering certification course is a 12 weeks online program. The course syllabus for this online course was developed and approved by IIT Kharagpur. The Indian Institute of Technology (IIT) Kharagpur and NPTEL are in charge of issuing the course certificate, but the course is offered via the Swayam platform.

The Probability Methods in Civil Engineering training belong to the core program section, which deals with the fundamental concepts of probability and statistics and is very important to solving various civil engineering problems. In this course, we can understand probability and types of probabilistic models, and the concept of random variables and different functions of random variables will be covered.

Each topic is discussed in relation to various application problems and their solutions in a variety of civil engineering disciplines, such as structural engineering, transportation engineering, water resources engineering, environmental engineering, geotechnical engineering, etc. Prof. Rajib Maity explains this certificate course.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Global Marketing Management

The Global Marketing Management certification course focuses on making enrolled students more aware about the dynamics and dimensions of the global market and how to manage it through different methodologies and implementation of theories. The course will begin with the global market central module occupying a significant and growing portion of the overall business of the planet.

Today, almost all businesses, big and small, are influenced by world events and competition because most export output and secure suppliers from foreign countries. The Global Marketing Management training will help the students to grab the understanding of why it is necessary to consider the success of most managers, regardless of the scale of the sector, from a global viewpoint, to approach their operational strategies.

In view of the above, this course provides a fresh, updated analysis of the global business environment and successfully combines a comprehensive global business review with an exhaustive discussion of what is happening in the global market. The Global Marketing Management certification will give expressive and immense structure of the benefits. This is a core programme that is structured within the duration of Twelve weeks along with the compilation of the course with certification.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Integrated Marketing Communication

Integrated Marketing Communication Certification is developed with a blend of theoretical lectures and various examples which will provide insights into real-life scenarios. It is the process of unifying a brand’s messaging for making it the same across all media platforms that the brand does use for its target audience.

Integrated Marketing Communication Classes will help participants get familiarized with the integration of marketing communication modes and strategies for building brands.

All students enrolling for the course get an Integrated Marketing Communication Certification from the Indian Institute of Technology Roorkee (IIT Roorkee) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Management of Inventory Systems

The onset of globalisation and liberalisation in the Indian economy has increased the amount of competition faced by Indian industries. To ensure continuous improvement, there must be a focus on inventory/ material management systems. The Management of Inventory Systems certification course aims to provide training in this domain.

The course on Management of Inventory Systems by Swayam falls under the Management domain and is created by IIT Kharagpur. It is divided over 12 weeks and consists of 30 hours worth of lectures and video tutorials. The contents of the curriculum are highly comprehensive and relevant to the current industry scenario, as this is a core course at the university level.

This programme is an AICTE-approved FDP course and candidates can enrol for free. Throughout the course, students will work on 12 graded assignments, whose score will go towards calculating their final score. Candidates enrolled in the Management of Inventory Systems online course will learn about the various problem areas in inventory management, how to deal with risk, uncertainty, etc.

12 Weeks

₹ Free

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Skills Covered:

Supply Management

Offered by

IIT Delhi via Swayam +1

Certificate

Advanced Probability Theory

Advanced Probability Theory program is a core course in mathematics designed for undergraduate and postgraduate students who want to learn probability concepts from Kolmogorov’s Axioms. This financial industry-supported course will cover a variety of topics in 12 weeks.

Advanced Probability Theory certification will be conducted through a series of online lectures and regular assignments. Participants of the course can also appear for the final exam in person and gain a certificate upon passing all the criteria. The educator for this course is Professor Niladri Chatterjee from IIT Delhi.

Advanced Probability Theory will go through topics such as cumulative function distribution, probability density function and provide an introduction to the concept of a random variable. Participants will also learn about probability distributions, the function of one or two random variables, and the overview of order statistics. This is an AICTE approved program that also provides a list of books and references for the benefit of the participants.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIT Gandhinagar (IIT GN) , IIT Ropar (IIT-RPR) via Swayam +1

Certificate

Discrete Mathematics

Mathematical concepts are often complicated, and you might get bored learning them through the traditional chalk and board method. Hence, IIT Ropar has developed an innovative and creative course to teach discrete mathematics through the Discrete Mathematics certification course. The 12-week-long online programme lays emphasis on problem-solving skills and logical thinking.

Discrete mathematics is a significant branch of mathematics used in machine learning, data science, and software engineering. The Discrete Mathematics- IIT Ropar online course has been designed to make learning mathematics fun for students. You can learn through a series of video lectures that include several illustrations, animations and anecdotes to ensure full understanding and retention.

Furthermore, Discrete Mathematics training by Swayam assumes no prerequisites and is open for anyone interested in learning the programme. You can attain an official certificate awarded by Swayam and NPTEL at the end of the programme by qualifying for the final certification examination and all the assignments.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Ordinary And Partial Differential Equations And Applications

The Ordinary and Partial Differential Equations and Applications certification course is designed with complete overview of the differential equations and its relative significance. This course is a standard curriculum that is offered to UG/PG engineering or science students. It requires the presence and uniqueness of an ODE solution, homogeneous and non-homogeneous linear differential equation systems, second-order homogeneous differential equation power series solution.

The Ordinary and Partial Differential Equations and Applications training will undertake both aspects of the curriculum in an analytical and practical manner that will help the candidate to be more productive and effective in their respective major. This course has considerable applications in numerous engineering and science areas, such as control theory, numerical analysis, dynamic systems, etc. The main motive will be focused towards the core elements of the major that have a significant role in the functioning of the problem-solving areas.

This course will provide a quick overview of the whole curriculum in the beginning and then later it will be directed to the new modules, framework, theorems, challenges and limitations that are associated with this particular programme along with that, the candidate will be provided Ordinary and Partial Differential Equations and Applications certification that will help them to pursue further courses in same field.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Numerical Linear Algebra

The Numerical Linear Algebra online course has been structured as a basic and fundamental course for the students who are pursuing their postgraduate or undergraduate level degree course from the stream of science or engineering.

The Numerical Linear Algebra certification benefits the registered students by providing them the core concepts regarding- stability of numerical algorithms, matrix algebra, stability of nonlinear systems, conditioning and condition number, vector and matrix norms, convergent matrices, computer arithmetic, sensitivity analysis, singular value decomposition (SVD), least square solutions, algebraic and geometric properties of SVD, Power method and applications, Householder matrices and applications, QR method, Jacobi method for finding the eigenvalues of a given matrix.

The Numerical Linear Algebra certification course will be dealing with all the real world applications of the numerical linear algebra concept in the diverse fields of - sciences and engineering. The twelve weeks course will be emphasised on topics like- control theory, numerical analysis, image processing and dynamical systems.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of MATLAB

Offered by

IIT Kanpur via Swayam +1

Certificate

Advanced Partial Differential Equations

The intention behind learning the Advanced Partial Differential Equations program is to understand the physical phenomenon occurring in nature. In this course, candidates will explore the basic ideas, inner workings, and characteristics of first-order equations. They will then progress to three fundamental second-order equations.

As mentioned before, the Advanced Partial Differential Equations certification syllabus will begin with the study of first-order equations such as the Burgers equation, entropy solutions, Reinmann problem, etc. After that, the course will explore the Laplace equation, Wave equation, and Heat equation in detail.

This course is an AICTE approved faculty development program. Individuals participating in the Advanced Partial Differential Equations Certification will go through a twelve-week process where they will learn through online lectures and weekly assignments under the guidance of Professor Kaushik Bal from IIT Kanpur. Participants of the course will be eligible to achieve a certificate by scoring well in assignments as well as a final offline exam.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning

The Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning certification is offered by Swayam. The course will provide you with fundamental knowledge about the core concepts of Linear algebra. Linear algebra plays a significant role in a wide range of fields and has multiple applications, including data analysis, wireless communication, machine learning, finance and control, and signal processing.

The Applied Linear Algebra online programme is approved by AICTE and has been designed as an attempt to teach the cutting edge and diverse applications of linear algebra. If you are from the IT and engineering field, you will be interested in learning about the advanced concepts as they are extremely significant in multiple industries today. Thus, you can increase your knowledge and hiring prospects by enrolling on the course offered by Swayam in association with IIT Kanpur.

Besides, the Applied Linear Algebra certification will run for 12 weeks for free, and you can earn an e-certificate by taking a proctored exam. The training is a part of IIT Kanpur’s Faculty Development Programme (FDP). Apart from UG and PG students, practising scientists, engineers, and managers from various fields can purse the FDP.

12 Weeks

₹ Free

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Skills Covered:

Machine learning Data science knowledge Knowledge of Big Data

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Numerical Methods for Engineers

The Numerical Methods for Engineers course by Swayam is designed to give an overview of various numerical methods that are of great interest to scientists and engineers. This course focuses on the numerical techniques, its analysis and its properties. The theory behind numerical methods and applications of them are also discussed. Numerical methods are mainly used by computers to solve iterative and step-wise problems which are tedious to solve by hands.

This course covers concepts like curve fitting, interpolation, regression, linear systems and mathematical concepts like algebra, integration and differentiation. Various computational tools like FLUENT, Aspen, FORTRAN and MATLAB are used for teaching. Algebraic equations are solved using open and bracketing methods like Regula-Falsi, Bisection, Secant, Multivariate Newton’s method, Newton Raphson and Fixed point iteration.

The 12-week programme comprises weekly assignments and 2.5 hours of video tutorial every week. A discussion forum for clearing the doubts of the participants is also available. This course would greatly benefit the candidate to improve their problem solving ability.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Basic Calculus – 1

This Basic Calculus – 1 online course is offered by the Swayam online learning platform. It is coordinated by NPTEL. This course aims to guide basic calculus to all types of candidates irrespective of their social standing. The duration of this course is 12 weeks. The course will follow the referenced book chapters 1 to 5. The candidates will revise certain notions they learned in school and also will get introduced to new notions.

This course is primarily intended for those candidates who are at the undergraduate level pursuing Bsc. The calculus taught in this course will be an updated version of the calculus taught in schools. This course is accredited by NPTEL. The lectures of this course will be around 40-45 minutes. The instructor will solve about 100 problem exercises and show usage of graphs.

The Basic Calculus – 1 certification will have the logos of NPTEL and the Indian Institute of Technology Madras. The certification will benefit the candidates academically and professionally. The certification will be provided in the e-format. This makes it easily shareable on all platforms such as LinkedIn.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Introduction to Commutative Algebra

The Introduction to Commutative Algebra program by Swayam is a twelve-week online course, designed for individuals who want to research areas such as algebraic geometry, commutative algebra, algebraic number theory, etc. It is an AICTE approved FDP curriculum, intended for postgraduate-level students.

Curated by IIT Madras, the Introduction to Commutative Algebra certification syllabus covers crucial topics such as ring homomorphism, prime and maximal ideals, Jacobson radical, module homomorphisms, submodules, and tensor product of modules. The exact properties of the tensor product and Noetherian rings are also a part of this comprehensive course. The Institute’s Professor A. V. Jayanthan will teach this course.

Moreover, the Introduction to Commutative Algebra training requires learners to have the necessary knowledge of linear algebra, basic ring theory, and group theory. Students will receive assignments and study through Swayam’s video lectures during the course. In the end, learners need to pass the final exam and meet all the certifying criteria to obtain their course certificates.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Combinatorics

The ‘Combinatorics’ online certification course is created for the students to engage and discuss the various aspects of counting and the study of patterns in this course. The students of this course will engage in enhancing their knowledge of mathematics and algebra. The free online learning course is provided by Swayam in collaboration with the National Program for Technology Enhanced Learning (NPTEL). The classes for this program are conducted online aided by lectures, videos, books, and reference materials for about twelve weeks.

The instructor for this program is Prof. Narayanan N from the department of physics at the Indian Institute of Technology Madras. The students of this undergraduate level mathematics and algebra course will gain insights into the concepts of combinatorics.

The ‘Combinatorics’ online training program equips students with the E-Certificate and credits points after successfully completing this core course approved by the All India Council for Technical Education. The students are evaluated based on their weekly assignments and final examination for the certification.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of Algorithms

Offered by

IIT Bombay via Swayam +1

Certificate

Basic Real Analysis

The Basic Real Analysis certification course has been designed with the aim to cover several basic concepts such as real line, differentiation as well as integration. The course prepares candidates for future courses. The theorems have been well explained so that the basics are clear for the aspirants. Theories and logics have been covered in every module of the basic real analysis course.

The course will also be enhancing the skills of the individuals registering for the course. Discussion forums boosts up the confidence level, by offering rigorous learning during the learning phase of course. Assignments, reading sessions, video lectures and quizzes have been designed which ensures that the participants are having smooth learning.

Aspirants registering for the Basic Real Analysis online course will be able to solve the problems easily after the learning they acquire. Different terminologies such as limit superior and limit inferior have been included in the course.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam +1

Certificate

Optimization From Fundamentals

The Optimization from Fundamentals certification course is a structural framework set for improving the learning of the field in a more effective way. From its fundamentals, this course will cover the subject of Optimization. A summary of actual analysis and convexity will begin with it. Linear programming, convex optimization and nonlinear programming, complementarity concerns and algorithms for the same will cover this basis.

With dynamic optimization, the Optimization from Fundamentals training will stop. The course will give a complete framework of what's the level of optimization in different sectors and now where it stands and what are the problems and challenges, it suffers.

The Optimization From Fundamentals certification will give an assurance that the candidate is more effective in the respective field, which will help him to undertake the same major in their respective upcoming future. The course is more tilted towards the understanding of the core elements that play the main role in the functioning of optimization principle. The students who will get enrolled in the programme will study various elements that are so vital for the functioning of the fundamentals and Optimization from Fundamentals certification syllabus will mainly consulate with that only.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Programming skills

Offered by

IIT Bombay via Swayam +1

Certificate

An introduction to Point-Set-Topology Part-I

An introduction to Point-Set-Topology Part-I certification by IIT Bombay via Swayam explores the definition of metric spaces and topological spaces. This is a 12-week online course that deals with topological aspects of metric spaces. An introduction to Point-Set-Topology Part-I certification course will expose students to three crucial theorems on complete metric spaces while providing them with the structure of completion of metric spaces. Through An introduction to Point-Set-Topology Part-I online course, students will get familiar with topological spaces, building new topologies from the old, Bases and subbases, I and II countability, connected and path connectedness, separability, and others.

An introduction to Point-Set-Topology Part-I certification syllabus discusses the meaningful study of analysis and further topology. In the end, the course gives outstanding results such as Urysohn’s lemma and Titze’s extension theorem and some applications. An introduction to Point-Set-Topology Part-I classes are backed up by a strong team of tutors solving all the queries. The classes also include several online interactive sessions.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of engineering

Offered by

IIT Kharagpur via Swayam +1

Certificate

Integral and Vector Calculus

The online course on Integral and Vector Calculus by Swayam will be offering a detailed introduction to the topic of - integral and vector calculus. The program will deal in a descriptive way with the concepts of- Riemann sum, partition, and Riemann Integrable functions and their applications as well as their properties. The online course will also discuss the fundamentals of- anti-derivatives.

The online certification course will teach the students over the course of twelve weeks about the classical theorems of integral calculus that also includes the - fundamental theorem of integral calculus. The Integral and Vector Calculus online course curriculum includes the concepts of- differentiability, gradient, divergence, directional derivative, and their geometrical interpretation and curl of vector functions in real-world functions.

The important and fundamental topics of - theorems of vector calculus: Gauss’s, Green’s, and Stoke’s theorem will also be discussed in the course. To help the applicants understand in a more comprehensive manner the course has been structured as - core.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kharagpur via Swayam +1

Certificate

Transform Calculus and its Applications in Differential Equations

The Transform Calculus and its applications in Differential Equations online course will help candidates learn about the basic techniques involved in the integral. The simpler ways of dealing out with the equations and coming up with the solution in a quick span of time will be taught to the candidates.

The candidates will be exposed to high-level concepts as well so that there is no difficulty in the process of learning. The course will train the students with the basic Integral Transform techniques. The candidates will be learning everything this topic covers within this time. The high-level concepts will also be touched by the experts.

The Transform Calculus and its applications in Differential Equations training come with certification, so the learning is a fun process. The candidates will have all the learning materials with them prior to the starting of the course and can carry on with their learning anytime they wish to.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

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